Van der Pol Equation with a Large Feedback Delay

The well-known Van der Pol equation with delayed feedback is considered. It assumed that the delay factor large enough. In study of dynamics, critical cases in problem stability zero equilibrium state are identified. shown they have infinite dimension. For such cases, special local analysis methods been developed. main result construction nonlinear evolutionary boundary value problems, which play role normal forms. Such problems can be equations Ginzburg–Landau type, as well and nonlinearity. nonlocal dynamics constructed determines behavior solutions to original equation. similar normalized also arise for a coefficient important small perturbation containing considered separately. addition, equation, cubic nonlinearity contains delay, One general conclusions presence complex diverse. fundamentally differs from classical